The 50-lb slider in the position shown has an initial velocity v0 = 2 ft/sec on the incl...

The 50-lb slider in the position shown has an initial velocity v₀ = 2 ft/sec on the inclined rail and slides under the influence of gravity and friction. The coefficient of kinetic friction between the slider and the rail is 0.50. Calculate the velocity of the slider as it passes the position for which the spring is compressed a distance x = 4 in. The spring offers a compressive resistance C and is known as a “hardening” spring, since its stiffness increases with deflection as shown in the accompanying graph.